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Finding the Fourth Proportional to 7,110, 10,668.84 and 3,462

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Solution

The fourth proportional to 7,110, 10,668.84 and 3,462 is: 5,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110 : 10,668.84 = 3,462 : x
  2. Step 2: Convert to fraction form
    7,110/10,668.84 = 3,462/x
  3. Step 3: Cross multiply
    7,110x = 10,668.84 × 3,462
  4. Step 4: Simplify right side
    7,110x = 36,935,524.08
  5. Step 5: Solve for x
    x = 36,935,524.08/7,110
  6. Step 6: Final answer
    x = 5,194.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.